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Finding the Fourth Proportional to 189,878.56, 284,814.72 and 77,534.08

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Solution

The fourth proportional to 189,878.56, 284,814.72 and 77,534.08 is: 116,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,878.56 : 284,814.72 = 77,534.08 : x
  2. Step 2: Convert to fraction form
    189,878.56/284,814.72 = 77,534.08/x
  3. Step 3: Cross multiply
    189,878.56x = 284,814.72 × 77,534.08
  4. Step 4: Simplify right side
    189,878.56x = 22,082,847,285.66
  5. Step 5: Solve for x
    x = 22,082,847,285.66/189,878.56
  6. Step 6: Final answer
    x = 116,299.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.